Find where the breakdown occurred and his original speed, Mathematics

A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours.  If the breakdown had occurred 10km farther off, he would have done the whole journey in 4 hours. Find where the breakdown occurred and his original speed. (Ans: 10km, 10km/hr)

Ans:    Let x  be the place where breakdown occurred y be the original speed

x/y + (30 - x)/(y/2) = 5

x + 10/y + 30 - ( x + 10)/(y/2) = 4

x/y + 60 - 2 x/y = 5

On solving, we get, x = 10 km and y = 10 km/h

 

 

Posted Date: 4/8/2013 2:59:15 AM | Location : United States







Related Discussions:- Find where the breakdown occurred and his original speed, Assignment Help, Ask Question on Find where the breakdown occurred and his original speed, Get Answer, Expert's Help, Find where the breakdown occurred and his original speed Discussions

Write discussion on Find where the breakdown occurred and his original speed
Your posts are moderated
Related Questions
predict whether there is a relationship between the mean January temperatures of a city in North America and the city''s position west of the prime meridian.

Test of hypothesis about the population mean When the population standard deviation (S) is identified then the t statistic is defined as             t = ¦(x¯ - µ)/ S x¯ ¦

Inverse Functions : In the last instance from the previous section we looked at the two functions   f ( x ) = 3x - 2 and g ( x ) = x /3+ 2/3 and saw that ( f o g ) ( x )

Pepsi:               A dummy variable where 1 denotes choice of Pepsi by the i-th customer and 0 otherwise Price_P:           The price of a 2-liter bottle of Pepsi at the time

Arc Length and Surface Area Revisited We won't be working any instances in this part.  This section is here exclusively for the aim of summarizing up all the arc length and su

Q. Define Combined Functions? Ans. We are often interested in functions which combine a trigonometric function with another type of function.  For example, y = x + sinx wi

Eileen needs 9 feet of fabric to make a skirt. If Eileen has 18 feet of fabric how many skirts can she make?

Hanna's sales target for the week is $5,000. So far she has sold $3,574.38 worth of merchandise. How much more does she required to sell to meet her goal? You must ?nd out the


I have about 6 Statistics questions, can anyone help me?