★ Maths Problem !!
1: A train travels a distance of 480 km at a uniform speed . If the speed had been 8 km/h less , then it would have taken 3 hours more to cover the same distance . We need to find the speed of the train.
2: Ram's mother is 26 years older than him . the product of their ages ( in years ) 3 years from now will be 360 . We would like to find Ram's present age.
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Answers
1. 40
2. 33
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2. Let Rohan present age be x years. Then, his mother's age is (x+26) years.
Rohan's age after 3 years =(x+3) years
After 3 years the age of Rohan's mother=(x+26+3)years=(x+29) years
It is given that after 3 years from now, the product of Rohan's and his mother's ages will be 360 years
∴(x+3)(x+29)=360⇒x
2
+32x−273=0 answer
This is the required equation.
∴(x+39)(x−7)=0
∴x=−39 and x=7
∴x=7(∵ x can not be negative)
present age=7+26=33 .answer
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Answer:
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