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Q #6
:

Directions: Read the following information to answer the question.

A is behind B by 60m. A & B are running at speed of 17m/s & 13m/s constantly. After how much time the distance between A & B will be 24m?

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The time the distance between A & B will be 24m at two times when A has covered relative distance of 36m or 84m. 

84/(17-13) = 21s


Q #7
:

Directions: Read the following information to answer the question.

A & B start running from the common starting point in same direction a circular race of 360m at speed of 8m/s & 13m/s respectively. How many times these two racers would have met before meeting at the starting point next time?

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They will meet after every 360/(13-8) = 72 sec

They will meet at the starting point next time at 

LCM(360/8,360/13) = 360 sec

Hence they will meet 5th time at the starting point =360/72 = 5

Therefore they have met 4 times before.


Q #8
:

Directions: Read the following information to answer the question.

A person moves along the each edge of an equilateral triangle with speeds 5m/s,7m/s & 8m/s.What is the average speed of the enire journey ?

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Average Speed = 3V1 X V2 X V3/(V1 XV2 + V2 XV3 + V3XV1)

         = 6.4


Q #9
:

Directions: Read the following information to answer the question.

At what time between 4 & 5 between 90 ?

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At 4:00 , the angle between the 2 hands of the clock the angle is 120 degree.

The minute hands run at 6 degree/minute & the hour hand run at ½ degree per minute .

30 /(6-1/2) = 60/11 = 4:05 :27.


Q #10
:

Directions: Read the following information to answer the question.

Lee was riding his bike. After travelling the distance of 30 km, he sensed an unusual sound from the engine so he reduced his speed to 3/4th of the initial speed and reached the destination 45 min late. Had he sensed the sound 12 km farther, he could have made up 15 min. Find the total distance of the journey.

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To cover up 15 min, the distance travelled with normal speed = 12 km

∴To cover up 45 min, the distance to be travelled at normal speed = 36 km

Total distance travelled = 30 + 36 = 66 km.