Anuj and Anup have to travel from place A to place B in their respective cars. Anuj is driving at 70 km/h, and takes 3 halts of 10 minutes each, while Anup is driving at 80 km/h and takes 4 halts of 15 minutes each. The time taken by Anup to reach Place B, if Anuj takes 8.5 hours, is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8 hours.
Distance = Speed × Time
The speed of Anuj = 70 km/h
He takes 3 halts of 10 minutes each
The speed of Anup = 80 km/h
He takes 4 halts of 15 minutes each
Time taken by Anuj to reach place B = 8.5 hours
According to the question
Total time taken by Anuj at 3 halts = 3 × 10 = 30 minutes = 0.5 hours
So, the time taken by Anuj to reach B without halts = 8.5 - 0.5 = 8 hours
Hence, the distance from A to B = 70 × 8 = 560 km
Now, the time taken by Anup to reach place B without 4 halts = 560/80 = 7 hours
The time taken by him at 4 halts = 4 × 15 = 60 minutes = 1 hour
Hence, the total time taken by Anup to cover a distance from A to B with 4 halts = 7 + 1 = 8 hours