Mathematics
Grade-8
Easy

Question

The speed of a subway train is 150 km/h, the normal train moves at 75 km/h. The difference in time for both the trains to cover 300 km is

  1. 3 hours
  2. 2 hours
  3. 3.5 hours
  4. 4 hours

The correct answer is: 2 hours


    G i v e n comma
S p e e d space o f space s u b w a y space t r a i n space equals space 150 space k m divided by h space equals space s subscript 1
S p e e d space o f space n o r m a l space t r a i n space equals space 5 space k m divided by h space equals space s subscript 2

T i m e space t a k e n space t o space c o v e r space 300 space k m space f o r space s u b w a y space t r a i n space equals space t subscript 1
T i m e space t a k e n space t o space c o v e r space 300 space k m space f o r space n o r m a l space t r a i n space equals space t subscript 2
H e r e comma space d subscript 1 space equals space d subscript 2 space equals space 300 k m

t subscript 1 space equals space d subscript 1 over s subscript 1 space equals space 300 over 150 space equals space 2 space h o u r s
t subscript 2 space equals space d subscript 2 over s subscript 2 space equals space 300 over 75 space equals space 4 space h o u r s

T i m e space d i f f e r e n c e space b e t w e e n space b o t h space t h e space t r a i n s space equals space open parentheses t subscript 2 space end subscript minus space t subscript 1 close parentheses space equals space open parentheses 4 space minus space 2 close parentheses space equals space 2 space h o u r s

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