Question 75

Tribeni bad to travel 175 km in 3.5 hours. However, she travelled at the rate of 58 km/hr for 2.5 hours and then rested for 20 minutes before completing the journey. If Tribeni managed to reach on time, her speed during the last stretch would have been ..........?

Solution

First he travelled 58 km/hr in 2.5 hours.

Distance = $$58 km/hr\times2.5 hours$$ = 145 km

Remaining distance = Total distance - Distance travelled initially = 175 km - 145 km = 30 km

Remaining time = Total time - (Initially travelled time + Rest time) = 3.5 hours - (2.5 hours + $$\frac{1}{3}$$ hours) = $$\frac{2}{3}$$ hours

Speed for remaining journey = $$\frac{\text{Remaining distance}}{\text{Remaining time}}$$

= $$\frac{30} {\frac{2}{3}}$$

= 45 km/hr


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