Sohan covers four trips for same distance. His speed on first trip was 240 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed of Sohan for these four trips? |
50 km/hr 64 km/hr 60 km/hr 52 km/hr |
64 km/hr |
Let the distance covered in each trip is d, For first trip, time = $\frac{distance}{speed}$ = $\frac{d}{240}$ For second trip, time = $\frac{distance}{speed}$ = $\frac{d}{120}$ For third trip, time = $\frac{distance}{speed}$ = $\frac{d}{60}$ For fourth trip, time = $\frac{distance}{speed}$ = $\frac{d}{30}$ Average speed = $\frac{total\; distance}{total\; time}$ = $\frac{4d}{\frac{d}{240} + \frac{d}{120} + \frac{d}{60} + \frac{d}{30}}$ = $\frac{4d}{\frac{15d}{240}}$ = 64 km/hr |