Question & Answer » Mathematics Questions » Rasheb starts for a wedding venue at 6 pm and drives at a speed of 60 km/hr. Ramesh starts for the same venue at 6.30 pm. and drives at a speed of 75 km/hr. When will both reach the venue, provided they reach at the same time?

Rasheb starts for a wedding venue at 6 pm and drives at a speed of 60 km/hr. Ramesh starts for the same venue at 6.30 pm. and drives at a speed of 75 km/hr. When will both reach the venue, provided they reach at the same time?

Answer: Assuming the time taken by Rasheb to reach the destination be= t hrs, hence the time taken by Ramesh to reach the destination will be = t-1/2 hrs.

Distance covered by Rasheb = 60t km

Whereas distance covered by Ramesh = 75(t-1/2)

60t = 75(t – 1/2)

75/2 = 75t – 60t

75 = 2*15t

75/30 = t

t = 2.5 hrs

Hence time taken by Rasheb = 2.5 hrs and time taken by Ramesh = 2 hrs. Hence, they reach the venue at 8:30 p.m.