Veena and Karmesh were at different places in Delhi. They fixed a meeting point to meet to settle some issue. Veena started her journey at 8:00 a.m. from place A and reached place B at 4:00 p.m. and Karmesh started moving from place B 2 hours later than the time Veena started and could reach place A at 5:00 p.m. the same day, via the same route. At what time will Karmesh and Veena meet each other?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e.12:48 p.m.
Let total distance = D
Veena: 8:00 a.m. to 4:00 p.m. → 8 hours
Veena's speed = D/8
Karmesh: 10:00 a.m. to 5:00 p.m. → 7 hours
Karmesh's speed = D/7
Let they meet after t hours from 8:00 a.m.
Veena travels for t hours = D/8 × t
Karmesh starts at 10:00 a.m., so he travels for t−2 hours = D/7 × (t - 2)
D/8 × t + D/7 × (t - 2) = D
t/8 + (t - 2)/7 = 1
7t + 8(t - 2) = 56
7t + 8t - 16 = 56
15t = 72
t = 4.8 hours = 4 hours 48 minutes
So, they will meet at 12:48 pm