A jet flew from Tokyo to Bangkok, a distance of 200 km. On the return trip, the speed was decreased by 50 kmph. If the difference in the time of the flights was 2 hours. How much time will it take from Tokyo to Bangkok?

# A jet flew from Tokyo to Bangkok, a distance of 200 km. On the return trip, the speed was decreased by 50 kmph. If the difference in the time of the flights was 2 hours. How much time will it take from Tokyo to Bangkok?

1. A
1 hour
2. B
2 hours
3. C
3 hours
4. D
4 hours

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### Solution:

distance = 200 km
When the jet flew from Tokyo to Bangkok . let time taken be โt1โ with โxโ kmph
๐ท๐๐ ๐ก๐๐๐๐
t= = t1
๐ ๐๐๐๐

= 200
๐ฅ

-------(i)
When jet flew Bangkok to Tokyo let time be t2 with speed x-50 kmph
t   =  200
๐ฅโ50
= t1-t2 = 2
1 1
= 200(
๐ฅ
= 100(1
๐ฅ

- ) = 2
๐ฅโ50
- 1 ) = 1
๐ฅโ50
๐ฅโ50โ๐ฅ
= 100 ( ) = 1
(๐ฅโ50)
= x2 - 50+ 5000= 0
= x2 - 100x + 50 x + 5000=0
= x (x-100)+ 50 (x+100) = 0
= (x-100) (x+50) x= 100 04 x=-50
x=100 kmph
T  = 200
๐ฅ

= 2 hours

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