Jake is faster than Paul. Jake and Paul each walk 24 km. The sum of their speeds is 7 km/h and the sum of time taken by them is 14 hours. Then Jake’s speed is equal to :

June 23, 2019

Jake is faster than Paul. Jake and Paul each walk 24 km. The sum of their speeds is 7 km/h and the sum of time taken by them is 14 hours. Then Jake’s speed is equal to :

Given that speed of Jake is greater than Paul
Distance = 24 km
Sum of their speed is 7 km/h = J+P
So possible speed ratio between J & P is
Go by Option
6:1 Not in option
5:2 = (24/5)+(24/2) ≠ 14 Hours
4:3 = (24/4)+(24/3) = 14 Hours
So Jake’s speed is 4km/h

or

since distance=24 km
let jake speed=x kmph
paul speed=y kmph
a/c to question
x+y=7
or
y=7-x
now,
24/x+24/y=14
or 24/x+24/7-x=14
or
1/x+1/7-x=14/24=7/12
x+7-x/7x-x*x=7/12
by solving
x=3,4
or
y=4,3
by using option
4km/h