At what speed will Santa reach on time?
Santa walks from home to office everday at 7AM.
On Monday he walks at a rate of 95 m/min. But he reaches office 1 min late.
On Tuesday he walks at a rate of 105 m/min. But he reaches office 1 min early.
On Wednesday he walks at a rate of x m/min. And finally reaches on time.
Find the value of x and at what time did Santa reach office on Wednesday.
On Monday he walks at a rate of 95 m/min. But he reaches office 1 min late.
On Tuesday he walks at a rate of 105 m/min. But he reaches office 1 min early.
On Wednesday he walks at a rate of x m/min. And finally reaches on time.
Find the value of x and at what time did Santa reach office on Wednesday.
Answer: x = 99.75 m/min
and total time of his home to office is 20 min, so he reached office at 7:20AM
Explanation:
let the distance be d,
speed be s,
and time be t.
Formula for distance will is d = st.
On Monday
d = 95(t - 1)
d = 95t - 95 ..........eq(1)
on Tuesday
d = 105(t + 1)
d = 105t + 105 ..........eq(2)
Adding equation (1) and (2)
d = 105t + 105
-d = 95t - 95
---------------
0 = 10t - 200
So t = 20 min
Now we will find distance
d = 105(t + 1)
d = 105(21)
d = 1995
Now we will find Speed
d = st
1995 = s * 20
s = 99.75 m/min
and total time of his home to office is 20 min, so he reached office at 7:20AM
Explanation:
let the distance be d,
speed be s,
and time be t.
Formula for distance will is d = st.
On Monday
d = 95(t - 1)
d = 95t - 95 ..........eq(1)
on Tuesday
d = 105(t + 1)
d = 105t + 105 ..........eq(2)
Adding equation (1) and (2)
d = 105t + 105
-d = 95t - 95
---------------
0 = 10t - 200
So t = 20 min
Now we will find distance
d = 105(t + 1)
d = 105(21)
d = 1995
Now we will find Speed
d = st
1995 = s * 20
s = 99.75 m/min
