The distance of 180 km between Delhi and Agra is covered by John in 2 hours and by Jill in 3 hours. If John starts from Delhi towards Agra at 8 a.m. and Jill starts from Agra towards Delhi at 9 a.m., at what time will they meet?
Answers
Answered by
0
they will meet at time 9.30 a.m.
Answered by
0
The distance from Delhi to Abraham =180km.
We can use this to get the speeds for both John and Jill.
Speed=Distance/time
Speed for John is:180/2=90km per hour.
Speed for Jill=180/3=60km per hour.
At 9 am when Jill leaves, John will have covered :1×90=90km
Lets assume that they meet at a point B which is (x+90) km away from Delhi.
Then it means that Jill will cover 180-(90+x)km to reach B.
This gives :90-X
The time they take to reach B is the same and John covers Xkm to reach B.
Equating the times we have:(90-X) km/60=X/90
90(90-X)=60X
8100-90X=60X
8100=150X
X=54Km
The time is therefore 54/90=36minutes for them to meet
The time they meet is :9.00am +36minutes
Which is 9.36a.m
We can use this to get the speeds for both John and Jill.
Speed=Distance/time
Speed for John is:180/2=90km per hour.
Speed for Jill=180/3=60km per hour.
At 9 am when Jill leaves, John will have covered :1×90=90km
Lets assume that they meet at a point B which is (x+90) km away from Delhi.
Then it means that Jill will cover 180-(90+x)km to reach B.
This gives :90-X
The time they take to reach B is the same and John covers Xkm to reach B.
Equating the times we have:(90-X) km/60=X/90
90(90-X)=60X
8100-90X=60X
8100=150X
X=54Km
The time is therefore 54/90=36minutes for them to meet
The time they meet is :9.00am +36minutes
Which is 9.36a.m
Similar questions