SOLUTION: David and Frank cycle from Islamabad to Murree, a distance of 210 km, at speeds of 20 km/hr and 15 km/hr respectively. David reaches Murree and starts back for Islamabad. How far

Question 583524: David and Frank cycle from Islamabad to Murree, a distance of 210 km, at speeds of 20 km/hr and 15 km/hr respectively. David reaches Murree and starts back for Islamabad. How far from Murree will he meet Frank?
Thanks.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
David and Frank cycle from Islamabad to Murree, a distance of 210 km, at speeds of 20 km/hr and 15 km/hr respectively. David reaches Murree and starts back for Islamabad. How far from Murree will he meet Frank?

David speed = 20 km/h
distance = 210 km
time david = 210/20 = 10.5 hours
Frank speed = 15 km/h
In 10.5 hours he travels = 15*10.5 = 157.5 km
When David starts his return Frank has traveled 157.5
distance between them = 210 - 157.5 = 52.5 km
they are moving towards each other
add up speeds
15+20 = 35 km/h
distance = 52.5 km
time = 52.5 /35 =1.5 hours
David meets after 1.5 hours from Murree
David speed = 20 km/h
time = 1.5 hours
30 km from Murree.

RELATED QUESTIONS
David and Frank cycle from Islamabad to Lahore, a distance of 210 km, at the speeds of 20 (answered by ankor@dixie-net.com)

Two cyclist are traveling the same distance at the speeds of 10 km/hr and 15 km/hr If one (answered by mananth)

Trains A and B, 200 km apart on the same track, travel at speeds of 50 km/hr and 65 km/hr (answered by richwmiller)

Trains A and B, 200 km apart on the same straight track, travel at speeds of 50 km/hr and (answered by Alan3354)

if a cycle travels at 20 km/hr and a car travels at 20 km/hr. who will cover the more... (answered by sachi)

if you bike a distance of 10 km at 30 km/hr, and then return at 20 km/hr, what is the... (answered by josgarithmetic)

A boy cycles x km at 8 km/hr and y km at 20 km/hr . His total time is 3.5 hours. The... (answered by josgarithmetic)

One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next... (answered by ankor@dixie-net.com)

Distance between two stations X and Y is 220 km. Trains P and Q leave station X at 8 am... (answered by mananth)