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Q:

If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon?

A) 14 kmph B) 13 kmph
C) 12 kmph D) 11 kmph

Answer:   C) 12 kmph



Explanation:

The distance is constant in this case.

Let the time taken for travel with a speed of 10 kmph be 't'.

Now the speed of 15 kmph is 3/2 times the speed of 10 kmph.

Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time)

Extra time taken = t - 2t/3 = t/3

=> 1pm - 11am = 2hrs

=> t/3 = 2h

=> t = 6 hrs.

Now, Distance = speed x time = 10 x 6 = 60 kms

Time he takes to reach at noon = 6 - 1 = 5 hrs

Now, Speed = 60/5 = 12 kmph.

Subject: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Related Questions
Q:

A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km B) 15 km
C) 12 km D) 20 km
 
Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

 

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

 

 

Using formula,

Time = Distance/speed

 

(D/3) + (D/6) = 5

 

D =10 ,

Hence, Total distance 2D  =  20 kms.

 

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12 1254
Q:

Car B is running twice as fast as car A. If car A covers a distance of 90 km in 1 1/2 hrs, what is the speed of car B?

A) 60 kmph B) 90 kmph
C) 100 kmph D) 120 kmph
 
Answer & Explanation Answer: D) 120 kmph

Explanation:
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5 1188
Q:

A person driving at the speed of 45 kmph reaches office 1 minute early while she reaches 3 minutes late if driving 40 kmoh. What is the distance (in Km) that she is covering?

 

A) 24 B) 28
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Difference in time taken = 4min = 1/15 hr

Let the total distance covered by person be D km.

Then,

⇒ D/40 – D/45 = 1/15

⇒ 5D = 120

⇒ D = 24 km

∴ Distance covered by person is 24 km.

 

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5 1721
Q:

Rahul nd Raghav are 110 km apart from each other and they started horse-riding towards each other at same time at a speed of 20 kmph and 24 kmph. After how many hours of riding will they be a distance of 22 km?

A) 1 hour B) 1 hour 30 min
C) 2 hours D) 2 hours 30 min
 
Answer & Explanation Answer: C) 2 hours

Explanation:
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7 1162
Q:

A boy walking at the speed of 4 km/hr covers a certain distance in 6 hours 15 minutes. If he covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of the cycle?

 

 

A) 4.5 B) 5  
C) 6   D) 6.5
 
Answer & Explanation Answer: B) 5  

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2 889
Q:

A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

A) 11.00 am B) 12.30 pm
C) 11.30 pm D) 12.00 pm
 
Answer & Explanation Answer: B) 12.30 pm

Explanation:
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3 901
Q:

Diameter of a car wheel is 21 cm. A car driver moving at the speed of 66 km/hr takes 36 seconds to reach a destination. How many revolutions will the wheel make during the journey?

 

 

A) 1800   B) 1500
C) 1200   D) 1000
 
Answer & Explanation Answer: D) 1000

Explanation:
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7 1010
Q:

A bus runs at 50 kmph. If the speed is increased by 10 kmph, it will cover 20 km more in the same time. Find the actual distance covered?

A) 100 km B) 150 km
C) 200 km D) 250 km
 
Answer & Explanation Answer: A) 100 km

Explanation:
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