Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 2)
2.
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
300 kmph
360 kmph
600 kmph
720 kmph
Answer: Option
Explanation:

Distance = (240 x 5) = 1200 km.

Speed = Distance/Time

Speed = 1200/(5/3) km/hr.     [We can write 1 hours as 5/3 hours]

Required speed = 1200 x 3 km/hr = 720 km/hr.
5

Discussion:
160 comments Page 8 of 16.

Naren said:   10 years ago
Here they wrote fraction 5/3 as mixed numbers (1 2/3).

Let me explain how to write it.

Here, the whole number is 1.

The denominator is 3 and the numerator is 2.

I) 1st Multiply the whole number by the denominator. i.e. 3*1=3.

II) Add the result to the numerator: i.e 3+2=5.

III) Now The numerator is 5. The denominator remains 3. --> so 5/3.

We got the output.
(4)

RAPTOR said:   10 years ago
In the question I read it as to find the speed to cover the same distance in 1 hour (not as 1 2/3).

Either I read is right or all others read it wrong, I got the answer 1200kmph.

My logic is, since the total distance calculated is 1200 km, and in one hour it should cover the same distance, my answer is right.

Ashok kumar parida said:   10 years ago
Distance = (240*5) = 1200 km.

S = D/T.

Speed = 1200/(5/3) km/hr.

My question where come from (5/3)?

Deepak said:   10 years ago
Distance = 240, 5 hour.

To cover same distance = x, 5/3 hour.

1 hour = 60 minutes, 5 hour = 300 minutes, 5/3 hour = 100 minutes.

= (5/3*60 minutes = 100 minutes).

= 240*300 = x*100.

72000 = x*100.

x = 72000/100.

x = 720.

So speed is 720 kmph.

Pooja said:   10 years ago
Not satisfied, still confuse why we are taking 5/3 as time why not 1? Please explain it well?

Vaitheesh kumar said:   10 years ago
2 + 3 = 5*1 = 5.

It is in fraction that is why should write need write in fraction form so 5/3.

Namrata Bajpai said:   9 years ago
A/Q as the distance is same.
So, d1 = d2.
We know that D = S/T.
So, S1 * T1 = S2 * T2 ----> (1).
Already, we have the value of s1= 240, t1 = 5, s2 = ?, t2 = 5/3.
So, according to the equation 1, we get S2 = 720.

Bdboy Hasan said:   9 years ago
Previous time is 5 * 60 = 300 minute and new time is 60 + 40 = 100 minute.
So, we need to increase speed 3 times as our required time is reduced 3 times.

So the speed will be 240 * 3 = 720 kmph.

Mayur said:   9 years ago
Why we convert 5/3 into 3/5?

Please tell me.

Sumit Wanza said:   9 years ago
240 km hour in 5 hours so 240 * 5 = 1200 km total distance.

Distance = 1 + 2/5 = 3/5.
= 1200/1 * 3/5.
= 1200 * 3 = 3600, = 1 * 5 = 5 .
= 3600/5 = 720.

So, the answer is 720 km.


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