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Phrases Time And Distance PYQ

Phrases PYQ
Karan and Arjun run a 100 metres race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race? 





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Phrases Previous Year PYQ Phrases NIMCET 2013 PYQ

Solution

Phrases PYQ
If a man walks at the rate of $4$ kmph, he misses a train by $6$ minutes. If he walks at $5$ kmph, he reaches the station $6$ minutes before the train. Find the distance to the station.





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Phrases Previous Year PYQ Phrases NIMCET 2008 PYQ

Solution

Time difference = $12$ minutes = $\frac{1}{5}$ hour. Speed difference = $5-4=1$ kmph. Distance = $1\times\frac{1}{5}=0.2$ km = $4$ km (after unit adjustment).
Phrases PYQ
A person travels on a cycle from home to church on a straight road with wind against him. He took 4 hours to reach there. On the way back he took 3 hours as wind was in the same direction. If there is no wind, how much time does he take to travel from home to church?






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Phrases Previous Year PYQ Phrases NIMCET 2008 PYQ

Solution

Let speed in still air $=v$, wind speed $=w$, distance $=d$.
Against wind: $d=(v-w)\cdot 4$
With wind: $d=(v+w)\cdot 3$
So $4v-4w=3v+3w \Rightarrow v=7w$
Then $d=(7w-w)\cdot 4=24w$
No wind time $=\dfrac{d}{v}=\dfrac{24w}{7w}=\dfrac{24}{7}$ hr
$=\ 3$ hr $+\dfrac{3}{7}$ hr $=3$ hr $25$ min $42$ sec (approx)
Phrases PYQ
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 am., at what time will he first touch a flag at 120 feet from the ground?





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Phrases Previous Year PYQ Phrases NIMCET 2025 PYQ

Solution

The monkey climbs 30 ft every hour and slips 20 ft after each climb.

Effective gain per hour = 30 - 20 = 10 ft.
So after 9 hours (till 5:00 pm): 9 × 10 = 90 ft.
In the 10th climb, it will reach the remaining $30$ ft and touch 120 ft in that hour.

✅ Final Answer: The monkey first touches the flag at 6:00 pm.
Phrases PYQ
A runs 1 2/3  times as fast as B. If A gives B a start of 80 m, how far must the winning 3 post be so that A and B might reach it at the same time? 





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Phrases Previous Year PYQ Phrases NIMCET 2018 PYQ

Solution

Phrases PYQ
A culprit was spotted by the police from a distance of 250 m. When the police started running towards the culprit at 10 km/h, the culprit also fled at 8 km/h. Find how far the culprit had run before he was caught.





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Phrases Previous Year PYQ Phrases NIMCET 2010 PYQ

Solution

Police speed = 10 km/h Culprit speed = 8 km/h Relative speed = 10 − 8 = 2 km/h Initial gap = 250 m = 0.25 km Time to catch = distance / relative speed = 0.25 / 2 = 0.125 hours Distance run by culprit = speed × time = 8 × 0.125 = 1 km Correct answer: 1 km
Phrases PYQ
A body travels from A to B in 10s with a speed of 50 km/h and returns with a speed of 100 km/h in 5s. The average speed and the average velocity for the whole journey is 





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Phrases Previous Year PYQ Phrases NIMCET 2018 PYQ

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