Riya and jiya are very health consicos and go every morning riya runs along the boundary of a shaped park of a side 20 m abd jiya runs along a traingular shaped park having dides 28 m 25 m and 35 m both take four roinds around the park
Answers
Answer:
my name is riya.
hehe...
Question :- Riya and Jiya are very health conscious and go for running every morning . Riya runs along the boundary of a square shaped park of side 20m and Jiya runs along a triangular shaped park having sides 28m, 25m and 35m. Both takes four rounds around the park.
(i) Who runs longer distance by how much ?
a) Riya by 32 m
b) Jiya by 32 m
c) Riya by 8 m
d) Jiya by 8 m
(ii) If both takes 5 minutes to complete one round of field, whose speed is less?
a) Riya
b) Jiya
c) Both have same speed
(iii) If Jiya runs around a rectangular park of side 25m and 30 m then how much
distance she cover in 1'2 round
a) 110 m
b) 220m
C) 165 m
d) 55m
Solution :-
→ Side of square = 20 m .
→ Perimeter of square = 4 * side = 4 * 20 = 80 m .
so,
→ Distance covered by Riya in 4 rounds = 4 * perimeter = 4 * 80 = 320 m.
and,
→ sides of ∆ park = 28m, 25m and 35m.
→ perimeter = 28 + 25 + 35 = 88 m .
so,
→ Distance covered by Jiya in 4 rounds = 4 * perimeter = 4 * 88 = 352 m.
therefore,
→ Jiya covered more distance by = 352 - 320 = 32 m. (Ans.b)
now,
→ Distance covered by Riya = 320 m.
→ Time taken = 5 minutes .
so,
→ speed of Riya = Distance / speed = 320/5 = 64m/min.
and,
→ Distance covered by Jiya = 352 m.
→ Time taken = 5 minutes .
so,
→ speed of Jiya = Distance / speed = 352/5 = 70.4m/min.
therefore, speed of Riya is Less.
now,
→ Perimeter of rectangle = 2(Length + Breadth) = 2(25 + 30) = 2 * 55 = 110m .
hence,
→ Distance covered by Jiya in 1'2 rounds = 110 * 1.5 = 165 m. (Ans.)