Carlos can drive 33 times as fast as Oscar can ride his bicycle. If it takes Oscar 44 hours longer than Carlos to travel 7272 miles, how fast can Oscar ride his bicycle?
Oscars bike speed ---- x
Carlos' car speed ----- 33x
Oscars time = 7272/x
Carlos' time = 7272/(33x)
7272/x - 7272/(33x) = 44
multiply each term by 33x
239976 - 7272 = 1452x
232704 = 1452x
x = 232704/1452 = 160.26 mph
Silly question and ridiculous answer, but it fits your data
PROOF:
Oscar's bike speed = 160.26
Carlos car speed = 5288.72 mph
Time for Carlos to go 7272 miles = 7272/5288.72 = 1.375 hrs
time for Oscar on bike = 7272/160.26 = 45.376
so it takes him 44 hours longer.
Let's assume that Oscar's speed is "x miles per hour".
According to the given information, Carlos can drive 33 times as fast as Oscar, so Carlos's speed would be "33x miles per hour".
Time can be calculated using the formula: Time = Distance / Speed.
Let's calculate the time taken by Oscar to travel 7272 miles:
Time taken by Oscar = Distance / Speed = 7272 / x hours
Now, let's calculate the time taken by Carlos to travel the same distance:
Time taken by Carlos = Distance / Speed = 7272 / (33x) hours
According to the problem, it takes Oscar 44 hours longer than Carlos to travel 7272 miles. Therefore:
7272 / x = 7272 / (33x) + 44
To solve this equation, we can cross multiply:
7272 * (33x) = 7272 * x + 44 * 7272
240216x = 7272x + 319488
240216x - 7272x = 319488
232944x = 319488
x = 319488 / 232944
x ≈ 1.37 (rounded to two decimal places)
Therefore, Oscar can ride his bicycle at a speed of approximately 1.37 miles per hour.
To solve this problem, let's assume that Carlos drives at a speed of x miles per hour and Oscar rides his bicycle at a speed of y miles per hour.
Given that Carlos can drive 33 times faster than Oscar, we can write the equation: x = 33y. (Equation 1)
We are also given that it takes Oscar 44 hours longer than Carlos to travel 7272 miles. We can express this as: 7272/y = 7272/x + 44. (Equation 2)
Now, substitute equation 1 into equation 2 to solve for y:
7272/y = 7272/(33y) + 44
To simplify the equation, multiply both sides by y * 33 to eliminate the denominators:
7272 * 33 = 7272 * 33/y + 44 * y * 33
Simplifying further:
239856 = 7272 * 33 + 44y * 33
239856 = 239856 + 1452y
239856 - 239856 = 1452y
0 = 1452y
Therefore, y = 0.
However, it doesn't make sense to have a speed of 0 miles per hour. Hence, there seems to be a mistake in the problem. Please check the given information again to ensure its accuracy.