John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 ...

John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 45 miles per hour, what is v in miles per hour?

Quiz

Answer/Solution

40

Steps/Work

HiBunuel
THe question seems incorrect. it should not be 80% at the speed of 80. However if it's 20% at the speed of 80, Answer comes out 55.
The question is correct. Here's the explanation:
Let distance be D. We can find the total timeequate it, which comes as:
0.8D / 80 + 0.2D / v = D / 40 => v = 40 (Option B).

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John traveled % of the way from yellow - town to green - fields by train at an average speed of miles per hour. The rest of the way john traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was miles per hour, what is v in miles per hour?

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