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Jack & Jill went to the hill....In going to hill (upword
Direction)...Jack went to the hill first nd waited for Jill
for "x" hours.. Jack's speed was then twice of Jill.. In
the down word direction Jill can go 3km in a hour, while
Jack can go 1km in 1 hour.. Jill reach the ground 1st nd
waited for Jack for "x" hours.. Total journey they traveled
is 6 km.. Find the speed of Jack...
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Answer Posted / khanijkumar
for jack
3=v*t; if his speed is v and time taken was t hours
For Jill
3=u*(x+t);
There fore
v*t=u(x+t)
2*u*t=u(x+t)
2t=x+t;
x=t;
In down word direction
jill speed 3km/hr
time taken by him to cover 3 kms is 1 hr;
time taken by Jack is 3 hr;
There fore jill wait 2 hr;
x=2;
There fore t=2;
v=3/2=1.5km/hr
There fore velocity of Jack is 1.5km/hr in the upword
direction
downward velocity is 1 km/hr
there fore
average speed is 2*1.5*1/(1.5+1)=1.2km/hr
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