Question

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In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?

Answer 1

Answer:

• 8.4 miles

Step-by-step explanation:

Let the speed in the morning be s, then in the evening it is s - 4

The distance is equal both directions:

• 45 min *s = 1 hr 10 min *(s - 4)

Time in hours:

• 45*1/60*s = (1 + 10*1/60)(s - 4)
• 3/4s = 7/6s - 7/6*4

Multiply all terms by 12 to clear fraction:

• 9s = 14s - 56
• 5s = 56
• s = 56/5
• s= 11.2 mph

The distance is:

• 3/4*11.2 = 0.75*11.2 = 8.4 miles

Answer 2

Answer:

the answer is 8.4

Step-by-step explanation:

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