Q1 . A man has to cover 300 km in 10 hours .He covers the first 100 km in 5 hours.At what speed should he travel so that he reaches on time?

1. 30 km/h

2. 20 km/h

3. 25 km/h

4. 40 km/h

Check Answer

Correct Answer is

40 km/h

SOLUTION

distance to cover =total distance-distance covered

distance to cover=300-100=200

time left=total time -time travelled=10-5=5

speed to be travelled=distance left/time left=200/5=40 km/h

Q2 . A man when travels at 15 km/h he is late by 10 minutes.When the man travels at a speed of 25 km/h he reaches 10 minutes early.what is the speed to reach office on time?

1. 12.75 km/h

2. 12.75 km/h

3. 18.75 km/h

4. 15.75 km/h

Check Answer

Correct Answer is

18.75 km/h

SOLUTION

D/15=t+10/60

D/25=t-10

D is distance t is time

equation 1/2 is

D/15/D/25=t+10/60/t-10/60

25/15=t+1/6/t-1/6

solving for t=40 minutes or 2/3 hours

subdtitute in equation 1

d=12.5 km

speed=distance/time=12.5/2/3=18.75

Q3 . A thief Robs a bank at 5:00 AM and runs at a speed of 20 km/h.The cop realise that the theft has happened only by 7:00 AM.If the cop starts running at the speed of 30 km/h at 7:00.When will he catch the thief?

1. 10:30 AM

2. 11:00 AM

3. 9:30 AM

4. 11:30 AM

Check Answer

Correct Answer is

11:00 AM

SOLUTION

The thief starts running at 20 km/h at 5:00 AM

At 7:00 AM the thief has covered a distance of 40 km

When police starts running the distance to be covered is 40 km

since they are running in the same direction effective speed is 30-20=10

so time taken is 40/10=4 hrs

the police starts running at 7:00 AM so he will catch the thief by 11:00 AM

Q4 . A man has to cover 500 KM in 10 hours.If he travels at a speed of 10 km/h for the intial 5 hours.What should be his average speed so as to reach the destination on time?

1. 95 km/h

2. 80 km/h

3. 90 km/h

4. 85 km/h

Check Answer

Correct Answer is

90 km/h

SOLUTION

In 5 hours distance is 5x10=50 km

remaining distance is 500-50=450

Remaining time is 10-5=5 hours

Average speed=Total Distance/Total time=450/5=90 km/h

Q5 . Let A and B be two towns that are 200km apart.If A can travel at a speed of 20 Km/h .At what speed should B start running towards A so that both of them can meet in 4 hours?

1. 20 km/h

2. 35 km/h

3. 32 km/h

4. 30 km/h

Check Answer

Correct Answer is

30 km/h

SOLUTION

if they are running at opposite direction effective speed is A+B

time taken=distance/effective speed

4=200/20+B

solving for B

speed of B is 30 km/h

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