## 63rd SSC CGL level Question Set, 3rd on topics Speed-time-distance, Train running and Boats in rivers

This is the 63rd question set of 10 practice problem exercise for SSC CGL exam and 3rd on topic Speed-time-distance, Train running and Boats in rivers. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for gaining maximum benefits from this resource.

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.

### Recommendation

Before starting to answer the questions it is recommended that you go through the related tutorial,

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

For answers to the questions refer to the corresponding solution set included in the reading list at the end.

### 63rd question set - 10 problems for SSC CGL exam: 3rd on topics Speed-time-distance, Train running, Boats in rivers - time 12 mins

**Problem 1.**

The ratio of lengths of two trains is 5: 3 and the ratio of their speeds is 6 : 5. The ratio of time taken by them to cross a pole is,

- 11 : 8
- 27 : 16
- 5 : 6
- 25 : 18

**Problem 2.**

A man can swim 3 km/hr in still water. If the velocity of the stream is 2 km/hr, the time taken by him to swim to a place 10 km upstream and back is,

- $12$ hrs
- $8\displaystyle\frac{1}{3}$ hrs
- $10$ hrs
- $9\displaystyle\frac{1}{3}$ hrs

**Problem 3.**

A man standing on a platform finds that a train takes 3 seconds to pass him and another train of same length moving in the opposite direction takes 4 secs. The time taken by the trains to pass each other will be,

- $2\displaystyle\frac{3}{7}$ secs
- $5\displaystyle\frac{3}{7}$ secs
- $3\displaystyle\frac{3}{7}$ secs
- $4\displaystyle\frac{3}{7}$ secs

**Problem 4.**

A boat covers 12 km upstream and 18 km downstream in 3 hrs, while it covers 36 km upstream and 24 km downstream in $6\displaystyle\frac{1}{2}$ hrs. What is the speed of the current?

- 2.5 km/hr
- 2 km/hr
- 1.5 km/hr
- 1 km/hr

**Problem 5.**

In covering a certain distance, the speed of A and B are in the ratio 3 : 4. A takes 30 mins more than B to reach the destination. The time taken by A to reach the destination is,

- $1$ hrs
- $2\displaystyle\frac{1}{2}$ hr
- $1\displaystyle\frac{1}{2}$ hr
- $2$ hrs

#### Problem 6.

A man completes 30 km of a journey at a speed of 6 km/hr and the remaining 40 km journey in 5 hrs. His average speed for the whole journey is,

- $7$ km/hr
- $7.5$ km/hr
- $6\displaystyle\frac{4}{11}$ km/hr
- $8$ km/hr

**Problem 7.**

A cyclist after cycling a distance of 70 kms on the second day finds that the ratio of distance covered by him on the first two days is 4 : 5. If he travels a distance of 42 kms on the third day, the ratio of distances traveled on the third day and the first day is,

- 4 : 3
- 3 : 4
- 3 : 2
- 2 : 3

**Problem 8.**

A and B run a 5 km race on a round course of 400 m. If their speeds are in the ratio of 5 : 4, the number of times the winner passes the other is,

- 5
- 1
- 2
- 3

**Problem 9.**

If a boy walks from his house to his school at the rate of 4 km/hr, he reaches the school 10 mins earlier than the scheduled time. However if he walks at the rate of 3 km/hr he reaches 10 mins late. Find the distance of the school from his house.

- 4 km
- 5 km
- 4.5 km
- 6 km

**Problem 10.**

In a 100 m race, Kanu defeats Ritwik by 5 secs. If the speed of Kanu is 18 km/hr, the speed of Ritwik is,

- 14.4 km/hr
- 14 km/hr
- 14.5 km/hr
- 15.4 km/hr

**Related important reading list:**

### Guidelines

**7 steps for sure success in SSC CGL Tier 1 and Tier 2 competitive tests**

### 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**

### Question and solution sets on Speed time distance and related topics

#### SSC CGL Tier II

**SSC CGL Tier II Solved questions Set 13 on Time and distance problems Train problems 1**

#### SSC CGL

**SSC CGL level Solution Set 63 on Speed-time-distance Train Running Boats in Rivers 3**

**SSC CGL level Question Set 63 on Speed-time-distance Train Running Boats in Rivers 3**

**SSC CGL level Solution Set 62 on Speed-time-distance Train running Boats in Rivers 2**

**SSC CGL level Question Set 62 on Speed-time-distance Train Running Boats in Rivers 2**

**SSC CGL level Solution Set 44 on Work-time Pipes-cisterns Speed-time-distance**

**SSC CGL level Question Set 44 on Work-time Pipes-cisterns Speed-time-distance**