Speed time distance Time and work problems: SSC CGL 44

Submitted by Atanu Chaudhuri on Thu, 17/11/2016 - 19:06

Speed time distance and Time and work problems SSC CGL Set 44

10 Speed time distance and Time and work problems in SSC CGL Set 44 to solve in 12 minutes. Verify correctness from answers. Learn to solve from solutions.

Contents are,

Time and work problems
Pipes and cisterns problems
Speed time distance problems
Answers to the 10 problems.

Link to the solutions is at the end.

Time work, Pipes cisterns and Speed time distance problems SSC CGL Set 44 - time 12 mins

Problem 1.

A man and a boy can complete a work together in 24 days. If the man alone does the work for the last six days then it is completed in 26 days. How long will the boy take to complete the work alone?

20 days
72 days
36 days
24 days

Problem 2.

Two men $M_1$ and $M_2$ can complete a piece of work in 12 days and 18 days respectively. $M_1$ begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in,

$14\displaystyle\frac{1}{3}$ days
$15\displaystyle\frac{2}{3}$ days
$18\displaystyle\frac{2}{3}$ days
$16\displaystyle\frac{1}{3}$ days

Problem 3.

There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hours, while the second in 10 hours. If both the pumps are opened at the same time and kept open for 4 hours, the part of the tank that will be filled up is,

$\displaystyle\frac{1}{10}$
$\displaystyle\frac{1}{5}$
$\displaystyle\frac{2}{3}$
$\displaystyle\frac{9}{10}$

Problem 4.

A boy and a girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes while the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

44 minutes
42 minutes
36 minutes
48 minutes

Problem 5.

You arrive at your school 5 minutes late if you walk at a speed of 4 km/hour. But if you walk at a speed of 5 km/hour you arrive 10 minutes before scheduled time. The distance of your school from your house (in km) is,

Problem 6.

A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance is equal to,

$\displaystyle\frac{40}{3}$ minutes
$40$ minutes
$15$ minutes
$20$ minutes

Problem 7.

Walking at three-fourth of his usual speed, a man covers a certain distance in 2 hours more than the time he takes to cover the same distance at his usual speed. The time taken by him to cover the distance at his usual speed is,

4.5 hours
5 hours
5.5 hours
6 hours

Problem 8.

In a river, the speed of current is 5 km/hour. A motorboat goes 10 km upstream and back again to the starting point in 50 minutes. The speed (in km/hour) of the motorboat in still water is,

Problem 9.

A person travels 600 km by train at 80km/hour, 800 km by ship at 40 km/hour, 500 km by aeroplane at 400 km/hour and 100 km by car at 50 km/hour. What is the average speed over the entire distance?

$65\frac{5}{123}$ km/hr
$60\frac{5}{123}$ km/hr
$60$ km/hr
$62$ km/hr

Problem 10.

A man goes from Delhi to Agra at a uniform speed of 40 km/hr and comes back to Delhi at a uniform speed of 60 km/hr. His average speed for the whole journey is,