Others Maths Puzzle

Two cars A and B drive straight towards the same point P with speeds a and b respectively. At the start, A, B and P form an equilateral triangle. After some time A and B move to the new positions, B covers 80 miles, and ABP becomes a right triangle. At the moment when A arrives at P, B is 120 miles away from P. What is the distance between A and B in the beginning?

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Others Other Question

What is the largest positive integer n for which n3 + 100 is divisible by n+10? Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by Rs2.00 from that of each adjacent book. For the price of the book at the extreme right, a customer can buy the middle book and an adjacent one. Then

a. The cheapest book sells for Rs4.00.
b. The middle book sells for Rs36.00.
c. The most expensive book sells for Rs64.00.
d. The adjacent book referred to is the one to the right of the middle book.
e. None of the statements above is true.