## 1st IBPS PO level Question Set, 1st on topics Speed-time-distance, Train running and Boats in rivers

This is the 1st question set of 10 practice problem exercise for IBPS PO exam and 1st on topic Speed-time-distance, Train running and Boats in rivers. Students should complete this question set in prescribed time first and then only refer to the corresponding detailed solution set for learning basics on the topics and how to solve the problems quickly in mind.

In MCQ test, you need to deduce the answer in shortest possible time and select the right choice.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

- must have complete understanding of the basic concepts in the topic area
- is adequately fast in mental math calculation
- should try to solve each problem using the basic and rich concepts in the specific topic area and
- does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use **your problem solving abilities** to gain an edge in competition.

### 1st question set - 10 problems for IBPS PO exam: 1st on topics Speed-time-distance, Train running, Boats in rivers - time 12 mins

**Problem 1.**

Two trains moving in the same direction pass each other in 3 mins 2 secs while moving in opposite directions pass each other in 14 secs. How much more in percentage is the speed of the faster train in comparison to the slower one?

- 16.33%
- 17.67%
- 16.67%
- 18.33%
- 17.33%

**Problem 2.**

A man travels from A to B at speed 40 km/hr and returns to A by increasing his speed to 150%. What is his average speed for both the trips combined?

- 36 km/hr
- 50 km/hr
- 45 km/hr
- 48 km/hr
- None of the above

**Problem 3.**

A train traveling at 51 km/hr passes in 24 seconds a second train double its length moving in opposite direction at a speed of 93 km/hr. If the second train also passes a bridge in 66 seconds, the length of the bridge is,

- 1705 m
- 1600 m
- 1580 m
- 1065 m
- None of the above

**Problem 4.**

To travel a certain distance $D$ km in a river downstream, a boat takes the same time it takes to travel $(D-12)$ km upstream. If the ratio of speed of the river current and the speed of the boat in still water is $1:5$, find the value of $D$.

- 36 km
- 28 km
- 30 km
- 24 km
- 32 km

**Problem 5.**

In covering 28 km downstream, a boat takes 35 mins less than it takes to cover the same distance upstream. If the speed of the boat in still water is 14 km/hr, what is the speed of the stream (in km/hr)?

- 2.5
- 10.5
- 2
- 9.5
- 6.5

#### Problem 6.

A train starts from station P at 8 am and travels at speed 53 km/hr towards station Q from where a second train starts at 9 am and travels at speed 76 km/hr towards station P. If distance between the two stations were 569 km, at what time will the trains meet?

- 2 pm
- 12.30 pm
- 1.30 pm
- 2.30 pm
- 1 pm

**Problem 7.**

A truck covers 528 km in a certain time moving at an average speed of 66 km/hr. If a car moving at an average speed less by 24 km/hr than the truck travels 7 hrs more than the time taken by the truck, how much distance will it cover?

- 336 km
- 630 km
- 598 km
- 682 km
- None of the above

**Problem 8.**

Among three points on the bank of a river flowing at a constant current speed, Q is at equal distances from P and R. A man swims for 10 hrs to reach Q from P and then back to P. Further, he takes 4 hrs to swim from P to R. What is the ratio of the swimming speed of the man in still water and the speed of the river current?

- 3 : 5
- 5 : 3
- 1 : 2
- 2 : 5
- 3 : 2

**Problem 9.**

Two boats P and Q with still water speeds 12 km/hr and 15 km/hr respectively, start at the same time towards each other from two points 108 km apart. If P moves downstream and Q upstream, they will meet after a time period of,

- 4.5 hrs
- 6 hrs
- 4 hrs
- 5.4 hrs
- 6.3 hrs

**Problem 10.**

Two cars A and B left point P moving in the same direction at 9 am and 9.30 am with constant speeds 45 km/hr and $V$ km/hr respectively. If car B traveled 90 km before it met car A what is the value of $V$?

- 120 km/h
- 90 km/h
- 60 km/hr
- 40 km/hr
- 75 km/h

**Note:** Refer to the solution set, IBPS PO level solution set 1 on speed time distance, trains and boats in rivers 1 to learn the basics on topics and how to solve the problems quickly in mind.

You would find the detailed conceptual solution in, * IBPS PO level solution sets 1 on speed time distance, train running, boats in rivers 1*.

The answers follow.

### Answers to the questions

**Problem 1.** Answer. Option c: 16.67%.

**Problem 2.** Answer: Option d: 48 km/hr.

**Problem 3.** Answer: Option d: 1065 m.

**Problem 4.** Answer: Option a: 36 km.

**Problem 5.** Answer: Option c: 2 km/hr.

**Problem 6.** Answer: Option e: 1 pm.

**Problem 7.** Answer: Option b: 630 km.

**Problem 8.** Answer: Option b: 5 : 3.

**Problem 9.** Answer: Option c: 4 hrs.

**Problem 10.** Answer. Option c: 60 km/hr.

### Resources for further reading on related topics

The following posts on related topics should be useful for you.

#### Tutorials and Quick solutions in a few steps on Speed time distance and related topics

**Basic concepts on Arithmetic problems on Speed-time-distance Train-running Boat-rivers**

**How to solve Time and Distance problems in a few simple steps 1**

**How to solve Time and Distance problems in a few simple steps 2**

**How to solve a GATE level long Work Time problem analytically in a few steps 1**

**How to solve arithmetic boundary condition problems in a few simple steps**

**How to solve Arithmetic problems on Work-time, Work-wages and Pipes-cisterns**

#### IBPS level Question and Solution sets on speed time distance, train running, boats in rivers

**IBPS PO level Solution set 1 on speed time distance, train running, boats in rivers 1**

**IBPS PO level Question set 1 on speed time distance, train running, boats in rivers 1**