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प्रश्न
Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.
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उत्तर
Let the speed of the two cars be “x” and “y”.
By the given first condition
`100/(x + y) = 1("Distance"/"Speed" = "time")`
x + y = 100 ........(1) ......(They travel in opposite direction)
By the given second condition.
`100/(x - y)` = 2 ...[time taken in 2 hours in the same direction]
2x – 2y = 100
x – y = 50 ..........(2)
x + y = 100
y = 100 – x
| x | 30 | 50 | 60 | 70 |
| y | 70 | 50 | 40 | 30 |
Plot the points (30, 70), (50, 50), (60, 40) and (70, 30) in the graph sheet
x – y = 50
– y = – x + 50
y = x – 50
| x | 40 | 50 | 60 | 70 |
| y | – 10 | 0 | 10 | 20 |
Plot the points (40, – 10), (50, 0), (60, 10) and (70, 20) in the same graph sheet
The two cars intersect at (75, 25)
The speed of the first car 75 km/hr
The speed of the second car 25 km/hr
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