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Vidushi drives at 50 km/hr and starts his journey at 4: 00 am. Vidhu drives at 60 km/hr and starts her journey at 5: 30 am and follows Vidushi. If Vidhu catches Vidushi at ab: cd pm, then $a + b + c + d = ?$

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1 : 00 pm

2 : 00 pm

3 : 00 pm

12 : 30 pm

answer is A.

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Detailed Solution

Concept: By using this formula,

Speed = \frac{Distance}{time}

We'll calculate the speed of Vidushi, Vidhu and their starting duration.
It’s given that,
Vidhu starts at 5: 30 am
Time for which Vidushi travels =90 min = 1.5 hours

Distance = Speed \times time

Distance = 50 \times \times 1.5

Distance = 75 km

So, Vidushi is ahead by 75 km at 5: 30 am. Let Vidhu catch Vidushi after time t,

60 t = 50 t + 75

10 t = 75

t = 7.5 hours

Therefore, they meet after 7.5 hours, starting from 5: 30 am and the time at which they meet is at 1: 00 pm. We can represent this as 01: 00 pm.

a + b + c + d = 0 + 1 + 0 + 0

a + b + c + d = 1

Hence, the correct option is 1.

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