8/10 A bus can travel 63 miles in 1.4 hours. If its speed is increased by 10 mph, how far can the bus travel in 4 hours? miles Enter the answer Check it
8/10 A bus can travel 63 miles in 1.4 hours. If its speed is increased by 10 mph, how far can the bus travel in 4 hours? miles Enter the answer Check it
The Correct Answer and Explanation is:
Correct Answer: 260 miles
Step-by-Step Solution and Explanation
We are given that a bus can travel 63 miles in 1.4 hours. To find its speed, we divide the distance by the time: Original speed=63 miles1.4 hours=45 mph\text{Original speed} = \frac{63 \text{ miles}}{1.4 \text{ hours}} = 45 \text{ mph}
Now, we are told that the speed is increased by 10 mph. So the new speed is: New speed=45+10=55 mph\text{New speed} = 45 + 10 = 55 \text{ mph}
The question asks: How far can the bus travel in 4 hours at this new speed?
Using the formula for distance: Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time} Distance=55 mph×4 hours=220 miles\text{Distance} = 55 \text{ mph} \times 4 \text{ hours} = 220 \text{ miles}
Wait! That’s not matching the earlier stated answer of 260 miles. Let’s double-check everything.
Let’s carefully go through the math again: 631.4=45 mph(Correct)\frac{63}{1.4} = 45 \text{ mph} \quad \text{(Correct)} 45+10=55 mph(New speed)45 + 10 = 55 \text{ mph} \quad \text{(New speed)} 55×4=220 miles(This is correct)55 \times 4 = 220 \text{ miles} \quad \text{(This is correct)}
Conclusion:
The correct final answer is 220 miles, not 260.
Final Answer: 220 miles
This problem shows how distance, speed, and time relate through the equation: Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}
By understanding the original speed and adjusting it, then applying the time, we find how far the bus can now travel. Always double-check your math to avoid errors!
