Aryan has to reach Ahmedabad which is 889 km away in 17 hours. His starting speed for 5 hours was 29 km/hr. For the next 96 km his speed was 24 km/hr. By what speed he must travel now so as to reach Ahmedabad in decided time of 17 hours?

Correct option is D

Given:

Total distance to Ahmedabad = 889 km

Total time available = 17 hours

First part: 5 hours at 29 km/hr

Second part: 96 km at 24 km/hr

Required: Speed for remaining distance

Formula Used:

Distance = Speed × Time

Solution:

Distance covered in first 5 hours = 29 × 5 = 145 km

Distance covered next = 96 km

Time taken = $$\frac{96}{ 24}$$​ = 4 hours

Total distance covered so far = 145 + 96 = 241 km

Remaining distance = 889 − 241 = 648 km

Time consumed so far = 5 + 4 = 9 hours

Time left = 17 − 9 = 8 hours

Required speed = $$\frac{648} 8$$​= 81 km/hr