The speed of boat in still water is 4 kmph more than the speed of stream The sum of distance covered...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

The speed of boat in still water is 4 kmph more than the speed of stream. The sum of distance covered by boat in 2 hours upstream and 2 hours downstream is 28 km.

Quantity I: Distance travelled by boat downstream in 5 hours.

Quantity II: Average speed of Siddharth while driving a car from home to office and back when travelling at a speed of 50 kmph from home to office and at a speed of 40 kmph from office to home.

Quantity I > Quantity II

Quantity I ≥ Quantity II

Quantity II > Quantity I

Quantity II ≥ Quantity I

Quantity I = Quantity II or Relation cannot be established

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Explanation:

Let y= speed of stream=a
x= speed of boat in still water=a+4
2(Upstream Speed) + 2(Downstream Speed) = 28
2*4 + 2(2a+4)=28
a=3
Hence downstream speed=10
Distance=5*10=50 km
Average speed=2*50*40/(50+40)=44.44 kmph

Hence, option 1 is the correct answer.