SSC GD 2019 PYQ — Question 64

SSC GD Constable (English) - 13 Feb 2019 Shift 1 • Quantitative Aptitude • Q64

A motorcycle is moving at the speed of 25 km/hr and its speed is increased by 7 km/hr at the end of each hour. How much time it will take to cover a distance of 225 km?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 11/2 hr.

Understanding/Application

Total distance = 225 km

Distance travelled in every hour will be equal to the speed.

Distance travelled in 1st hour = 25 km

Distance travelled in 2nd hour = 32 km (Speed increased by 7 km/hour)

Distance travelled in 3rd hour = 39 km

Distance travelled in 4th hour = 46 km

Distance travelled in 5th hour = 53 km

Total distance travelled in 5 hours = 25 + 32 + 39 + 46 + 53 = 195 km

Remaining distance = 225 -195 = 30 km

Speed for 6th hour will be 53 + 7 = 60 km/hr

30 km can be travelled in 0.5 hours.

Therefore, 225 km distance will be travelled in 5.5 hours = 11/2 hr