Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Two buses depart from the Yardley Bus Terminal. One is moving north at 4141 kilometers per hour, while the other is moving south at 2727 kilometers per hour. How long will it be before the buses are 6565 kilometers apart?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes\newline

Full solution

Q. Two buses depart from the Yardley Bus Terminal. One is moving north at 4141 kilometers per hour, while the other is moving south at 2727 kilometers per hour. How long will it be before the buses are 6565 kilometers apart?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes\newline
  1. Given Speeds: We have:\newlineSpeed of Bus 11: 4141 kilometers per hour\newlineSpeed of Bus 22: 2727 kilometers per hour\newlineFind the combined speed of the two buses since they are moving in opposite directions.\newlineCombined speed = Speed of Bus 11 + Speed of Bus 22\newlineCombined speed = 41+2741 + 27\newlineCombined speed = 6868 kilometers per hour
  2. Combined Speed Calculation: Now, we need to find the time it takes for the buses to be 6565 kilometers apart.\newlineUse the formula: Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}\newlineTime=65 kilometers68 kilometers per hour\text{Time} = \frac{65 \text{ kilometers}}{68 \text{ kilometers per hour}}\newlineTime0.9559\text{Time} \approx 0.9559 hours
  3. Time Calculation: To convert hours into minutes, we multiply by 6060. \newlineTime in minutes = 0.95590.9559 hours ×60\times 60 minutes/hour \newlineTime in minutes 57.354\approx 57.354 minutes
  4. Conversion to Minutes: Since we need to round to the nearest minute, we round 57.35457.354 minutes to 5757 minutes.
  5. Rounding to Nearest Minute: Therefore, the buses will be 6565 kilometers apart in approximately 00 hours and 5757 minutes.

More problems from Rate of travel: word problems