Question

A tourist mini bus travelled from Nagpur to Shirdi without stopping. It covered the first 50 miles of the journey at an average speed of 25 mph. What was the bus's average speed (in mph) for the remaining 130 miles, if its overall average speed was 45 mph?
1. 65
2. 28
3. 50
4. 40

Answer 1

Correct Answer - Option 1 : 65

Time taken to cover 50 miles = Distance ÷ Speed

Time taken to cover 50 mile = 50 ÷ 25

Time taken to cover 50 mile = 2 hours

Now, Total Distance between Nagpur to Shirdi = 50 + 130 = 180 mile

Average speed = 45mph

Time taken to cover 180 mile = 180 ÷ 45 = 4 hours

So, First 50 mile was covered in 2 hours and total time taken is 4 hours 

Therefore remaining distance of 130 mile would have been covered in 2 hours.

So, Average speed for the remaining 130 miles = 130 ÷ 2 = 65mph

Hence, option 1 is the correct answer.