SOLUTION: Karnataka Express leaves Bangalore at 5 p.m. and reaches Dharmavaram at 9 p.m. Kurla Express leaves Dharmavaram at 7 p.m. and reaches Bangalore at 10.30 p.m. What time do the train

Question 625091: Karnataka Express leaves Bangalore at 5 p.m. and reaches Dharmavaram at 9 p.m. Kurla Express leaves Dharmavaram at 7 p.m. and reaches Bangalore at 10.30 p.m. What time do the trains cross one another?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance between the cities
Let = the rate of the Karnataka Express
Let = the rate of the Kurla express
How much of a head start does the Karnataka Express have?
from 5 PM to 7 PM
( any units for d[h] )
--------------

( any units for d - same as d[h] )
--------------
Start a stopwatch when the Kurla Express leaves. They will both
travel for the same time,
--------------
Think of one train as standing still, and the other approaching
at the sum of their speeds. The moving train must cover

The sum of their speeds is:

-------------------

Divide both sides by

Multiply both sides by

hrs
minutes
They will meet at 56 minutes past 7
----------
check:

OK
RELATED QUESTIONS
A leaves Mumbai at 6am and reaches Bangalore at 10am. B leaves Bangalore at 8am and... (answered by rothauserc)

A train M leaves station A at 5 a.m. and reaches station B at 9 a.m. Another train N... (answered by ankor@dixie-net.com)

A train (a) travels from p to q at a rate of 24.5 km/h. After it has been gone 1.4... (answered by richwmiller)

A tour bus normally leaves for its destination at 5:00 p.m. for a 300 mile trip. This... (answered by ikleyn,ewatrrr)

Antony leaves Kingstown at 2:00 P.M. and drives to Queensville, 256 km distant, at 72... (answered by ankor@dixie-net.com,greenestamps)

The freight train headed south at 9 a.m. and the express train headed north from the same (answered by mananth,greenestamps)

The temperature recorded in a certain region at 7:00 a.m. it was -4°C, at 9:00 a.m. rose (answered by MathLover1,ikleyn)

A train X leaves,Meerut at 5:00am and reaches Delhi at 9:00am.Another trainY leaves... (answered by lwsshak3)

At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a... (answered by ikleyn)