Question

Sumit starts his journey from point Q at 1 p.m. He drives the car at the speed of 48 km/hr for first three hours and complete the remaining journey at the speed of 36 km/hr. If Rahul starts moving towards Sumit at 6 p.m. from point Q at the speed of 51 km/hr, then at what time he will catch Sumit ?
1. 5 : 36 am
2. 7 : 30 am
3. 8 : 24 am
4. 6 : 42 am

Answer 1

Correct Answer - Option 3 : 8 : 24 am

Given: 

Sumit travels at speed for 1st 3 hours is 48 km/hr 

Rahul moving is 51 km/hr 

Formula Used: 

Distance = Speed × Time

Calculation:

Distance travel by sumit till 6 pm = 3 × 48 + 2 × 36 = 216 km 

Distance = Relative speed × time 

⇒ 216 = (51 - 36) × Time 

⇒ Time = 216/15 = 72/5 = 14 hr 24 minutes 

So Rahul catch Sumit in 14hr 24 minutes after 6 PM 

Then, Actual time = 8 : 24 am

∴ Rahul catch Sumit at 8 : 24 am.