Joe started from Bombay towards Pune and her friend Julie in oppositedirection. They meet at a point .distance traveled by Joe was 1.8 milesmore than that of Julie. After spending some both started there way.Joe reaches in 2 hours while Julie in 3.5 hours. Assuming both were travelingwith constant speed. What is the distance between the two cities.

Madhusmita_behera
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Sep 3rd, 2006
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vinay karalkar

Sep 13th, 2006

The distance between 2 cities is 6.6 miles.Consider Both meet after X Hrs after they started .Consider Y Miles is the distance travelled by Julie in X Hrs=> Distance covered by Joe in X Hrs = Y + 1.8 Miles.Hence Julie's speed is Y/X Miles/Hr And Joe's speed is (Y + 1.8 ) /X Miles/HrDistance travelled by Joe (Bombay - Pune) in 2 Hrs = Distance travelled by Joe (Pune - Bombay) in 3.5 Hrs( (Y + 1.8 ) /X) * 2 = (Y/X) * 3.52Y + 3.6 = 3.5Y1.5 Y =3.6Y=2.4Hence Distance between Pune -Bombay = Y + (Y +1.8) = 2Y + 1.8 = (2*2.4) +1.8 = 4.8 + 1.8 = 6.6 Miles