Question
If a driver increased her speed from 40 km/h to 50
km/hshe takes one hour less than the usual time to cover a certain distanceWhat is the distance covered by the driver?Solution
ATQ, We can use the formula: Distance = Speed × Time For the initial speed of 40 km/h: Distance = 40 km/h × T For the increased speed of 50 km/h: Distance = 50 km/h × (T - 1) Since both expressions represent the same distance, we can set them equal to each other: 40T = 50(T - 1) Now, let's solve for T: 40T = 50T - 50 Subtract 40T from both sides: 10T = 50 Now, divide by 10 to find the value of T: T = 5 So, the usual time it takes to cover the distance is 5 hours. Now, we can find the distance using the initial speed: Distance = 40 km/h × 5 hours = 200 km Therefore, the distance covered by the driver is 200 km
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