Question
A man travels A to B at a speed x km/hr. He then rests at B for x hours. He then travels from B to C at a speed 2x km/hr and rests for 2x hours. He moves further to D at a speed twice as that between B and C. He thus reaches D in 16 hr. If distances A-B, B-C and C-D are all equal to 12 km, the time for which he rested at B could be:
Answer: Option A
:
A
Using answer options :
Option (a) total time taken from A to D.
12x+x+122x+2x+124x=16
→21x+3x=16
→3x2−16x+21=0
→x=3,37
Alternatively:
Going by the answer options:
Let us assume the answer to be 2 hrs.
FROM-TOSpeedTime taken to cover 12 kmsRest timeCumulative timeA−B2628B−C4347C−D81.501.5Totaltimetaken16.5
Let us assume the answer to be 3 hrs.
FROM-TOSpeedTime taken to cover 12 kmsRest timeCumulative timeA−B3437B−C6268C−D12101Totaltimetaken16
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:
A
Using answer options :
Option (a) total time taken from A to D.
12x+x+122x+2x+124x=16
→21x+3x=16
→3x2−16x+21=0
→x=3,37
Alternatively:
Going by the answer options:
Let us assume the answer to be 2 hrs.
FROM-TOSpeedTime taken to cover 12 kmsRest timeCumulative timeA−B2628B−C4347C−D81.501.5Totaltimetaken16.5
Let us assume the answer to be 3 hrs.
FROM-TOSpeedTime taken to cover 12 kmsRest timeCumulative timeA−B3437B−C6268C−D12101Totaltimetaken16
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