Two places A and B are 80km apart from each other on a high way. A car starts from A and another from B at the same time. If they move in the same direction they meet in 8 hours and if they move towards each other they meet in 1 hour 20 minutes. Find the speed of the cars
Answers
Answer:
Step-by-step explanation:
Answer below
Answer:
Speed of Car A =35 km/hr
Speed of car B =25 km/hr
Step-by-step explanation:
Given A to B distance = 80km
let the speed of car A be x
and speed of car B be y
let us assume that both the cars meet at C
then ,
distance covered by carA is equal to AC
distance covered by carB is equal to BC
AC- BC = AB
i.e AC - BC = 80km
speed is equal to distance by time
then d= speed × time
case 1
time taken to cover distance AC as well as BC is 8 hours
therefore
AC = x × 8 = 8x
BC = y × 8
AC minus b c is equal to 80 therefore,
8 x - 8 Y =80
x-y = 10.......(i)
case 2
1 hour 20 minutes is equal to 4 / 3 hours
A and B meets at point O when they move in the same direction
therefore
AO+ BO = AB
AO= s × t = x × 4/3
BO= s × t= y× 4/3
4x/ 3 + 4y/3 = 80km
4x+4y= 80×3
4x+4y= 240
x+y = 60.......(ii)
Solving (i) and (ii)
x - y =10
x+y = 60
2x = 70
x=70/2 = 35km/hr
therefore y=60-x = 60-35 = 25km/hr