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The distance between Dehradun and Lucknow is of 570 km. Chotu starts from Dehradun towards Lucknow at 8 am with the speed of 70 km/hr. Motu leaves from Lucknow towards Dehradun at 9 am with the speed of 30 km/hr. At what time they both meet? 
1. 4 pm
2. 3 pm
3. 1 pm
4. 2 pm

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Best answer
Correct Answer - Option 4 : 2 pm

Given

Distance between Dehradun and Lucknow = 570 km

Speed of Chotu = 70 km/hr at 8 am towards Lucknow

Speed of Motu = 30 km/hr at 9 am towards Dehradun

Formula Used

When 2 bodies are moving with their speeds of x km/hr and y km/hr in the opposite direction, then their relative speed = (x + y) km/hr

And, Time = Distance/Speed

Calculation

Distance between Dehradun and Lucknow is 570 km.

Chotu leaving from Dehradun leaves an hour early than Motu who leaves from Lucknow.

So, Distance covered by Chotu leaving from Dehradun = 70 km/hr × 1 hr = 70 km

Distance left = 570 -70 = 500 km

Now, Motu from Lucknow also moving and both are moving towards each other.

So, Relative speed = 70 + 30 = 100 km/hr

∴ time required by them to meet = 500/100 = 5 hours

∴ Thus, they both meet at 5 hours after 9 am, i.e. 2pm.

 

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