Question : Jimmy has to cover a distance of 88 km in 16 hours. If she covers half of the journey in $\frac{3}{4}$ time, then what should be her speed to cover the remaining distance in the time left?
Option 1: 12 km/h
Option 2: 10 km/h
Option 3: 11 km/h
Option 4: 13 km/h
Correct Answer: 11 km/h
Solution :
Let $s$ be Jimmy's speed in km/h. If she covers half of the journey in $\frac34$ of the total time (16 hours), then she covers the remaining half in the remaining time.
Distance covered in the first half: $\frac12×88$ km
Time taken to cover the first half: $\frac34×16$ hours
Remaining time = $16-16\times \frac {3}{4}=4$ hours
Speed for the second half=$\frac{\frac12×88}{4}$
= $\frac{44}{4}$ km/h
= 11 km/h
Hence, the correct answer is 11 km/h.
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