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Sagot :
Answer:
- 12.16 miles
Step-by-step explanation:
Speed - s, Distance - d, Time - t
Equation of time is:
- t = d/s
Given,
- s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h
Total time is the sum of time values to and from the town:
- d/32 + d/38 = 7/10
- d/16 + d/19 = 7/5
- d(1/16 + 1/19) = 7/5
- d(16 + 19) = 7(16*19)/5
- 35d = 425.6
- d = 425.6/35
- d = 12.16
It is given that,
→ s1= 32 miles/h
→ s2 = 38 miles/h
Now t1 + t2 is,
→ 42 min
→ 42/60 hours
→ 7/10 hours
The formula we use,
→ Time = Distance/Speed
→ t = d/s
Then the total time is the,
Sum of time values to and from the town.
→ d/32 + d/38 = 7/10
→ d/16 + d/19 = 7/5
→ d{(1/16) + (1/19)} = 7/5
→ d(16 + 19) = (7/5) × (16 × 19)
→ 35d = 425.6
→ d = 425.6/35
→ d = 12.16
Hence, the distance is 12.16 miles.
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