The distance between two places A and B on road is 70 kilometers. A car starts from A
and the other from B. If they travel in the same direction, they will meet after 7 hours. If
they travel towards each other they will meet after 1 hour, then find their speeds.
Answers
Answer:
hi mate!!!
Step-by-step explanation:
Let the speed of car at place A is x km/h and that of car at place B is y km/h
If they travel in same direction, they will meet after 7 hours, i.e. the difference of distance covered by them in 7 hours will be equal to distance b/w A and B.
As, distance = speed × time, and distance from A to B is 70 km
⇒ 7x - 7y = 70
⇒ x - y = 10
⇒ x = y + 10 eq.[1]
If they, travel in opposite direction, they will meet after 1 hour i.e. sum of distance travelled by both cars will be equal to the distance b/w A and B.
⇒ x + y = 70
Using eq.[1], we have
⇒ y + 10 + y = 70
⇒ 2y = 60
⇒ y = 30
Using this in eq.[1], we have
x = 30 + 10 = 40
Hence,
Speed of car at A = x = 40 km/h
Speed of car at B = y = 30 km/h
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Answer:
40 km/hr and 30 km/hr
Step-by-step explanation:
Time in travel in same direction- 7 hrs
Time in travel in opposite directions- 1 hr
Distance- 70 km
Speed of car A- x
Speed of car B- y
=========
Let's compare time in both cases:
70/(x+y)=1 ⇒ x+y=70 (x7) ⇒ 7x+7y= 7*70
70/(x-y)=7 ⇒ 7x-7y=70
Now substitute y from equation, add up the 2 equations:
7x+7y+7x-7y= 490+70
14x=540
x=560/14
x=40 km/hr
and y =70-x= 30 km/hr
Answer is 40 km/hr and 30 km/hr