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The distance between two mile stones is 230 km and two cars start simultaneously from the milestones in opposite directions and the distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/h, find the speed of each car.
- a)25 km/h, 40 km/h
- b)40 km/h, 50 km/h
- c)20 km/h, 40 km/h
- d)30 km/h, 40 km/h
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The distance between two mile stones is 230 km and two cars start simu...
Let S1 = x and S2 = x+10
Distance = speed * time
D1= 3x, D2 = 3(x+10)
Total distance = D1+D2+20
230 = 3x+30+3x+20
6x = 180
x = 30 km/h
x+10 = 40 km/h
Distance = speed * time
D1= 3x, D2 = 3(x+10)
Total distance = D1+D2+20
230 = 3x+30+3x+20
6x = 180
x = 30 km/h
x+10 = 40 km/h
Most Upvoted Answer
The distance between two mile stones is 230 km and two cars start simu...
Let's assume the speed of the first car is x km/h and the speed of the second car is (x + 10) km/h.
Distance covered by the first car in 3 hours = 3x km
Distance covered by the second car in 3 hours = 3(x + 10) km
Total distance covered by both cars in 3 hours = 3x + 3(x + 10) km
According to the given information, the total distance covered by both cars in 3 hours is 230 - 20 = 210 km.
Therefore, we can write the equation:
3x + 3(x + 10) = 210
Simplifying the equation:
3x + 3x + 30 = 210
6x + 30 = 210
6x = 210 - 30
6x = 180
x = 180 / 6
x = 30
So, the speed of the first car is 30 km/h and the speed of the second car is (30 + 10) = 40 km/h.
Hence, the correct answer is option D: 30 km/h, 40 km/h.
Distance covered by the first car in 3 hours = 3x km
Distance covered by the second car in 3 hours = 3(x + 10) km
Total distance covered by both cars in 3 hours = 3x + 3(x + 10) km
According to the given information, the total distance covered by both cars in 3 hours is 230 - 20 = 210 km.
Therefore, we can write the equation:
3x + 3(x + 10) = 210
Simplifying the equation:
3x + 3x + 30 = 210
6x + 30 = 210
6x = 210 - 30
6x = 180
x = 180 / 6
x = 30
So, the speed of the first car is 30 km/h and the speed of the second car is (30 + 10) = 40 km/h.
Hence, the correct answer is option D: 30 km/h, 40 km/h.
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Community Answer
The distance between two mile stones is 230 km and two cars start simu...
Option d
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The distance between two mile stones is 230 km and two cars start simultaneously from the milestones in opposite directions and the distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/h, find the speed of each car.a)25 km/h, 40 km/hb)40 km/h, 50 km/hc)20 km/h, 40 km/hd)30 km/h, 40 km/he)None of theseCorrect answer is option 'D'. Can you explain this answer?
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