mehdiov
Yesterday Diana spent a total of 240 minutes attending a training class, responding to E-mails, and talking on the phone. If she did no two of these three activities at the same time, how much time did she spend talking on the phone?
(1) Yesterday the amount of time that Diana spent attending the training class was 90 percent of the amount of time that she spent responding to E-mails.
(2) Yesterday the amount of time that Diana spent attending the training class was 60 percent of the total amount of time that she spent responding to E-mails and talking on the phone.
Let T denotes the time spent attending a training class.
Let E denotes the time spent responding to E-mails.
Let P denotes the time spent talking on the phone.
T +E + P = 240
DS: Find P ?
Statement 1 : T = 0.9 E .......(i)
Also, T +E + P = 240
0.9 E + E + P = 240
1.9 E + P = 240 .........(ii)
NOT SUFFICIENT Statement 2:
T = 0.6 (E+P) ........(iii)
Also, T +E + P = 240
T + T /0.6 = 240 ..........(iv)
OR
(0.6+1) (E+P) = 240.......(v)
we can find T but not P.
NOT SUFFICIENT Combined : From i & iii
0.9 E = 0.6 (E+P)
0.3 E = 0.6 P
E = 2P
From (v) 1.6 (2P+P) = 240
P = 240 / 4.8 = 50
Answer D