Shaurya has to reach Indore which is 652 km away in 18 hours. His starting speed for 3 hours was 73 km/hr. For the next 134 km his speed was 67km/hr. By what speed he must travel now so as to reach Indore in decided time of 18hours?

Correct option is A

Given:

Total distance to Indore = 652 km

Total time to reach Indore = 18 hours

First speed for 3 hours = 73 km/hr

Distance covered in the next segment = 134 km

Speed for the next segment = 67 km/hr

Formula Used:

Time =$$\frac{\text{Distance }}{\text{ Speed}}$$​​

Solution:

Distance covered in first 3 hours=73 × 3 = 219 km

So, 219 km is covered in the first 3 hours.

Time spent on the next 134 km:

Time for next 134 km=$$\frac{134}{67}$$​ = 2 hours

So, 134 km is covered in 2 hours.

Remaining distance = 652 - 219 - 134 = 299 km

Remaining time = 18 - 3 - 2 = 13 hours

​$$\text{Required speed} = \frac{299}{13}= 23 \, \text{km/hr}$$​

Thus, Shaurya must travel at a speed of 23 km/hr to reach Indore on time.