Q1 . When a person runs at 54 km/h he reaches his office 10 minutes early than an hour.what is the distance between home and office?
1. 42 kms
2. 45 kms
3. 48 kms
4. 40 kms
Correct Answer is
45 kms
SOLUTION
since the time taken is 50 minutes
distance covered in 50 minutes is 45 kms
Q2 . The distance between a mans office and his house is 50 Km.If a man travels at the speed of 5 km/h he reaches his office on time.If a person has to reach the office at 8:00 AM,when should he start?
1. 11:00 PM
2. 12:00 PM
3. 10:30 PM
4. 10:00 PM
Correct Answer is
10:00 PM
SOLUTION
Time taken to cover the distance 10 hours
so to reach 8:00 AM
He should start at 10 PM
Q3 . There are two people who start from their home towns at 8:00 AM.The places are 200 km apart .If A travels at 25 km/h and B at 30 km/h by taking if he walks continously ,but he walks only half an hour and half an hour of rest then travels.When will they meet each other?
1. 2:00 PM
2. 1:30 PM
3. 1:10 PM
4. 1:00 PM
Correct Answer is
1:00 PM
SOLUTION
The speed of B is 15 km/h
The speed of A is 25 km/h
effective speed is 15+25=40km/h
time taken=total distance/effective speed=200/40=5 hrs
since they start at 8:00 AM
They will meet at 1:00 PM
Q4 . The police are chasing a thief travelling at 50 km/h.The police shot the thief and punctured his tire and he stopped after 3 hours.The polic start chasing him at 9:00 AM at the speed of 30 km/h.At what time will they catch the thief?
1. 2:10 AM
2. 12:00 AM
3. 2:00 AM
4. 2:20 AM
Correct Answer is
2:00 AM
SOLUTION
the distance travelled by thief=3x50=150 km
Time taken by police=150/30=5 hrs
if they start at 9:00 AM they would 2:00 AM
Q5 . A and B run around a circular track 150 meters at 20 and 30 m/s respectively.They both run in opposite directions.When will they meet for the 10th time and the distance covered by A?
1. 32 seconds
2. 35 seconds
3. 30 seconds
4. 20 seconds
Correct Answer is
30 seconds
SOLUTION
since distance is 150 and effective speed (30+20)50 m/s.Time taken=150/50=3 seconds