a runs faster than b by 1.5 kmps and a reaches the destination 1.5 hrs earlier than b. they travelled 10km. what is the speed of a
Answers
Step-by-step explanation:
Let the trains start from station A and station B respectively.
Let the first train start from station A and the second train start from station B at the same time and move towards each other.
Let the speed of the first train be x km/hr
∴ the speed of the second train =(x+20) km/hr
Distance travelled by first train in 2 hours =2x km
Distance travelled by second train in 2 hours =2(x+20) km =(2x+40) km
Given, distance between two stations =300 km
According to the given condition, we have
Distance travelled by first train + Distance travelled by second train +20=300
i.e., 2x+(2x+40)+20=300
4x+60=300
4x=300−60 ....[Transposing 60 to RHS]
4x=240
Thus, x=
4
240
=60
∴ Speed of the first train =60 km/hr and
speed of the second train =(60+20) krn/h =80 km/hr.