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Q:

# Den Bosch and Eastbourne are two famous cities 300 km apart. Maradona starts from Den Bosch at 8:24 am . An hour later pele starts from Den Bosch. After travelling for 1 hour , Pele reaches Nottingham that Maradona had passed 40 minutes earlier. Nottingham falls on the way from Den Bosch to Eastbourne. If pele and Maradona just reaches  Eastbourne at the same time, what are thespeeds of the Maradona and Pele Respectively?

 A) 100 km/h , 125 km/h B) 60 km/h , 80 km/h C) 60 km/h , 75 km/h D) 75 km/h , 100 km/h

Answer:   D) 75 km/h , 100 km/h

Explanation:

Let Pele x km in 1 hour. so Maradona takes (2h-40min)=1 h 20 min to cover x km. Let speed of Maradona and Pele be M and P respectively than

x = $\inline&space;M\times&space;\frac{4}{3}$  and x= P x 1

$\inline&space;\Rightarrow$              $\inline&space;\frac{M}{P}=\frac{3}{4}$

Again            $\inline&space;\frac{300}{M}=\frac{300}{P}=1$

$\inline&space;\Rightarrow&space;\:&space;\:&space;\frac{300}{3k}-\frac{300}{4k}=1$

$\inline&space;\Rightarrow$  k= 25

$\inline&space;\Rightarrow$  M= 3k = 75 km/h

and     P= 4k = 100 km/h

( Through options it is very easy to solve)

Q:

A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ?

 A) 8 m/h B) 5 m/h C) 7 m/h D) 6 m/h

Answer & Explanation Answer: B) 5 m/h

Explanation:

As the distance travelled is constant, the time taken is inversely proportional to speed.

Let 'u' be the speed of the current and 'v' be the speed of the boat.

Speed of the boat downstream = v + u & upstream = v - u

=> v+u/v-u = 30/20 => v/u = 5 => v = 5u

=> v + u = 6u = 10/20/60 miles/hr

=> 6u = 30 m/h

=> u = 5 m/h

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8 107
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 & Explanation 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.

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9 106
Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

 A) 1 kmph B) 3 kmph C) 5 kmph D) 4 kmph

Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

From the given data,

$\inline \fn_jvn \frac{12}{9+x}+\frac{12}{9-x} = 3 hrs$

$\inline \fn_jvn 3x^{2} = 27$

=> x = 3 kmph

Therefore, the speed of the stream = 3 kmph

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9 99
Q:

In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps  ?

 A) 222 m 44 cm B) 204 m C) 201 m 21 cm D) 208 m

Answer & Explanation Answer: B) 204 m

Explanation:

To find the minimum distance, we have to get the LCM of 75, 80, 85

Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400

Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

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5 65
Q:

Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ?

 A) 60 B) 120 C) 360 D) 6

Answer & Explanation Answer: D) 6

Explanation:

For this we have to find the LCM of 24, 36 and 30

LCM of 24, 36 and 30 = 360 sec

360/60 min = 6 minutes.

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