Sam drove his bike at 58 mph for the same number of hours that Raj drove his bike at 51 mph. If sam ended up driving 62 miles more than Raj, how many hours did each drive?
To find the number of hours each person drove, we need to set up an equation based on the given information.
Let's assume that Sam drove for x hours and Raj drove for x hours as well.
We know that Sam drove his bike at 58 mph for x hours, so the distance he traveled can be calculated as 58x miles.
Similarly, Raj drove his bike at 51 mph for x hours, so the distance he traveled can be calculated as 51x miles.
According to the given information, Sam ended up driving 62 miles more than Raj. Therefore, we can set up the equation:
58x = 51x + 62
To solve this equation, we can subtract 51x from both sides to isolate the x term:
58x - 51x = 62
7x = 62
To solve for x, divide both sides of the equation by 7:
x = 62 / 7
x ≈ 8.857
Since x represents the number of hours, we can round it to the nearest whole number. Therefore, both Sam and Raj drove for approximately 9 hours.
So, Sam drove his bike for 9 hours, and Raj also drove his bike for 9 hours.